To Explain: that there is convincing evidence of an association between gender and goals for elementary school students and carry out a test and report conclusion.
Answer to Problem 10.64RE
There is no enough evidence to help the claim that there is a connection between gender and elementary school students.
Explanation of Solution
Formula used:
Calculation:
Assume
The null hypothesis statement is that the variables are not connected, where the alternative hypothesis statement that they are connected.
Row and column totals are
Gender | Grades | Popular | Sports | Total |
Female | 130 | 91 | 30 | 251 |
Male | 117 | 50 | 60 | 227 |
Total | 247 | 141 | 90 | 478 |
The expected frequencies
The value of the test- statistic is
The degree of freedom is
The P-Value is the probability of getting the value of the test statistic, or a value more extreme. And
If the P-value is equal or less than to the significance level, then the alternative hypothesis is accepted and null hypothesis is rejected:
There is no enough evidence to help the claim that there is an connection between gender and elementary school students.
Chapter 10 Solutions
Statistics Through Applications
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